System and method for transport block size design for multiple-input, multiple-output (MIMO) in a wireless communications system

ABSTRACT

In one embodiment, a method for transmitting information includes processing a downlink transport channel to generate a transport block (TB) having a TB size. The TB size is selected by selecting a modulation and coding scheme index (I TBS ) and a physical resource block index (N PRB ). The TB size for the selected I TBS  and N PRB  is selected so that an effective code rate at an user equipment (UE) does not exceed a specified threshold. The effective code rate is defined as a number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and code block CRC bits divided by a number of physical channel bits on Physical Downlink Shared Channel (PDSCH). The transport block is mapped to multiple spatial layers. The number of spatial layers N is greater than or equal to three. The multiple spatial layers are transmitted to the UE.

This application claims the benefit of U.S. Provisional Application No. 61/183,481, filed on Jun. 2, 2009, entitled “System and Method for Transport Block Size Design for Downlink Multiple-Input, Multiple-Output (MIMO) in a Wireless Communications System,” and U.S. Provisional Application No. 61/219,321 filed on Jun. 22, 2009, entitled “Transport Block Size Design for LTE-A Uplink MIMO,” which applications are hereby incorporated herein by reference.

TECHNICAL FIELD

The present invention relates generally to wireless communication, and more particularly to a system and method for transport block size (TBS) design for MIMO in a wireless communication system.

BACKGROUND

The Third Generation Partnership Project (3GPP) has decided that Evolved Universal Mobile Telecommunications System (UMTS) Terrestrial Radio Access (E-UTRA) evolve in future releases in order to meet 3GPP operator requirements for the evolution of E-UTRA and a need to meet/exceed the capabilities of International Mobile Telecommunications (IMT) Advanced. Accordingly, Long Term Evolution (LTE) is in the progress of evolving to LTE-Advanced.

Changes in LTE-Advanced over LTE include a target peak data rate for a downlink (DL) to be about 1 Gbps for LTE-Advanced as compared to 100 Mbps for LTE. In order to support such high data rates, DL spatial multiplexing with up to eight layers is considered for LTE-Advanced (see 3GPP TR 36.814 V0.4.1(2009-02), “Further Advancements for E-UTRA; Physical Layer Aspects; (Release 9), which is incorporated herein by reference), while in LTE, DL spatial multiplexing with up to four layers is available. As a result, changes may have to be made to facilitate the higher layer DL spatial multiplexing for LTE-Advanced, such as redesigning control signaling, reference signal patterns, transport block size per DL component carrier, and so forth.

As specified in LTE-Advanced, in the DL 8-by-X single user spatial multiplexing, up to two transport blocks may be transmitted to a scheduled User Equipment (UE) in a subframe per DL component carrier. Each transport block may be assigned its own modulation and coding scheme.

With an increase in the number of supported layers for DL spatial multiplexing in LTE-advanced, a new codeword-to-layer mapping needs to be designed to accommodate the larger number of layers (eight as opposed to four). Furthermore, the size of the transport blocks may be significantly increased for the allocated resource blocks.

For uplink, the target peak data rate is 50 Mb/s in LTE system, but for LTE-Advanced the target peak data rate of uplink is increased to 500 Mb/s. Uplink spatial multiplexing of up to four layers is considered for LTE-Advanced to support the higher data rates according to 3GPP TR 36.814 V0.4.1(2009-02), “Further Advancements for E-UTRA; Physical Layer Aspects; (Release 9),” which is incorporated herein by reference. In contrast only a single layer is used for LTE uplink. Therefore, many changes have to be made to facilitate the higher layer uplink spatial multiplexing for LTE-Advanced, such as redesigning control signaling, reference signal patterns, transport block size per uplink component carrier, and so on.

Hence, transport block size design for uplink and downlink are needed for increasing peak data rate in uplink and downlink transmission.

SUMMARY OF THE INVENTION

These and other problems are generally solved or circumvented, and technical advantages are generally achieved, by embodiments of a system and method for transport block size design for downlink MIMO in a wireless communication system.

In accordance with an embodiment, a method for transmitting information comprises processing a downlink transport channel to generate a transport block (TB) having a TB size. The TB size is selected by selecting a modulation and coding scheme index (I_(TBS)) and a physical resource block index (N_(PRB)). The TB size for the selected I_(TBS) and N_(PRB) is selected so that an effective code rate at a user equipment (UE) does not exceed a specified threshold. The effective code rate is defined as a number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and/or code block CRC bits divided by a number of physical channel bits on Physical Downlink Shared Channel (PDSCH). The transport block is mapped to multiple spatial layers. The number of spatial layers N is greater than or equal to three. The multiple spatial layers are transmitted to the UE.

In another embodiment, a method for transmitting information comprises processing a uplink transport channel to generate a transport block (TB) having a TB size. The TB size is selected by selecting a modulation and coding scheme index (I_(TBS)) and a physical resource block index (N_(PRB)). The TB size for the I_(TBS) and the N_(PRB) is selected so that the number of code blocks in the TB size is one (1) or a multiple of a number of spatial layers N. The transport block is mapped to the N spatial layers, and the N spatial layers transmitted to a receiver.

In an alternative embodiment, a communications device comprises a transmitter to be coupled to at least one transmit antenna. The transmitter is configured to transmit signals with the at least one transmit antenna. A transport channel processing unit is coupled to a processor. The transport channel processing unit is configured to provide transport channel processing to a transport block (TB) provided by the processor. The TB size of the TB is selected by selecting a modulation and coding scheme index (I_(TBS)) and a physical resource block index (N_(PRB)), and setting the TB size for the selected I_(TBS) and N_(PRB) so that the effective code rate at a user equipment (UE) does not exceed a specified threshold. The effective code rate is defined as the number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and code block CRC bits divided by the number of physical channel bits on Physical Downlink Shared Channel (PDSCH). A physical channel processing unit is coupled to the transmitter. The physical channel processing unit is configured to provide physical channel processing to a plurality of transport blocks provided by the transport channel processing unit.

In yet another, a communications device comprises a transmitter to be coupled to at least one transmit antenna. The transmitter is configured to transmit signals with the at least one transmit antenna. A transport channel processing unit is coupled to a processor. The transport channel processing unit is configured to provide transport channel processing to a transport block (TB) provided by the processor. The TB size of the TB is selected by selecting a modulation and coding scheme index (I_(TBS)) and a physical resource block index (N_(PRB)), and selecting the TB size for the I_(TBS) and N_(PRB) so that the number of code blocks in the TB size is one (1) or a multiple of a number of spatial layers N. A channel interleaver is coupled to the transport channel processing unit. The channel interleaver is configured to interleave modulation symbols of a plurality of transport blocks. A physical channel processing unit is coupled to the channel interleaver and to the transmitter. The physical channel processing unit is configured to provide physical channel processing to the interleaved modulation symbols provided by the channel interleaver.

The foregoing has outlined rather broadly the features and technical advantages of the present invention in order that the detailed description of the embodiments that follow may be better understood. Additional features and advantages of the embodiments will be described hereinafter which form the subject of the claims of the invention. It should be appreciated by those skilled in the art that the conception and specific embodiments disclosed may be readily utilized as a basis for modifying or designing other structures or processes for carrying out the same purposes of the present invention. It should also be realized by those skilled in the art that such equivalent constructions do not depart from the spirit and scope of the invention as set forth in the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the embodiments, and the advantages thereof, reference is now made to the following descriptions taken in conjunction with the accompanying drawings, in which:

FIG. 1 is a flow diagram of LTE Advanced downlink physical layer processing;

FIGS. 2a through 2c are diagrams of three cases of transmit blocks (TBs) to downlink layer mappings, with a number of downlink layers being equal to two (FIG. 2a), three (FIG. 2b), and four (FIG. 2c), where a single TB is mapped to two layers;

FIGS. 3a through 3k are diagrams of codeword-to-layer mappings in LTE-Advanced;

FIG. 4 is a flow diagram of operations in the design of TB sizes for a codeword-to-N-layer mapping, where N is greater than or equal to three in accordance with embodiments of the invention;

FIG. 5, which includes FIGS. 5a and 5b, illustrates mapping a transport block to multiple uplink layers, wherein FIG. 5a illustrates mapping of a transport block having two code blocks to two layers, and wherein FIG. 5b illustrates mapping of a transport block having three code blocks to three layers, in accordance with embodiments of the invention; and

FIG. 6 illustrates a communications device using embodiments of the invention.

DETAILED DESCRIPTION OF ILLUSTRATIVE EMBODIMENTS

The making and using of the embodiments are discussed in detail below. It should be appreciated, however, that the present invention provides many applicable inventive concepts that can be embodied in a wide variety of specific contexts. The specific embodiments discussed are merely illustrative of specific ways to make and use the invention, and do not limit the scope of the invention.

The embodiments will be described in a specific context, namely a Third Generation Partnership Project (3GPP) Long Term Evolution Advanced (LTE-Advanced) communications system. The invention may also be applied, however, to other communications systems, such as UMB, WiMAX compliant communications systems, that support transport block (TB) mapping to multiple MIMO layers, both uplink (UL) and downlink (DL). Therefore, the discussion of LTE and LTE-Advanced wireless communications systems should not be construed as being limiting to either the scope or the spirit of the embodiments.

In 3GPP LTE and LTE-Advanced compliant communications systems, data from upper network layers arrive at a physical layer as transport blocks (TBs). At each transmission instance (for example, a subframe in LTE), up to two TBs may be scheduled. At the physical layer, each TB undergoes processing such as channel coding, rate matching, scrambling, modulation, before it is mapped to MIMO layers and sent out from the antennas. In LTE, the set of code bits/modulation symbols corresponding to a TB is called a MIMO codeword. Conceptually, the codeword refers to a TB and may be used interchangeably.

In accordance with embodiments of the invention, a downlink transport block size design will be first described, followed by an uplink transport block design.

FIG. 1 is a flow diagram of LTE-Advanced downlink physical layer processing.

As illustrated in FIG. 1, up to two transport blocks (TB) are input and for each TB, a cyclic redundancy check (CRC) is attached to the TB at Transport block CRC attachment unit 101. If the size of the TB is larger than a preset threshold, Code block segmentation and Code block CRC attachment unit 102 is used to split the TB into multiple code blocks (CB) and a CRC is attached to each CB. If the TB is not larger than the preset threshold, then the TB may not be split into multiple CBs and the output of unit 101 are sent to unit 103.

Then, each CB is turbo-encoded in Channel Coding unit 103. In Rate matching unit 104, the coded bits of each CB is interleaved and the redundancy version (RV) for hybrid automatic repeat request (HARM) is obtained from high layer signaling. The CBs may be concatenated in a Code block concatenation unit 105 and the coded symbols to be transmitted is scrambled in a Scrambling unit 106 to randomize the transmission bits. The transport block size is defined within the transport channel processing within steps 101-105 and no further definition of the transport block size occurs during steps 106 and beyond.

Before mapping codewords to layers, the scrambled bits may be modulated into complex-valued symbols using Quadrature Phase Shift Keying (QPSK), 16 Quadrature Amplitude Modulation (QAM) or 64QAM in a Modulation Mapper unit 107. The complex-valued modulation symbols for each codeword to be transmitted are mapped onto one or several layers in a Layer Mapping unit 108. While, a Precoder unit 109 takes as input the vector comprising one symbol from each layer and generates a block of vector to be mapped onto resources on each of the antenna ports.

In a Resource Element Mapper unit 110, the precoded symbols are mapped into time-frequency domain resource element of each antenna port and then converted to orthogonal frequency division multiplexing (OFDM) baseband signal in an OFDM signal generation unit 111. The baseband signal is then upconverted to a carrier frequency for each antenna port.

There may be several combinations of codeword-to-layer mapping in LTE. Codeword-to-layer mapping is discussed herein in the context of spatial multiplexing.

Let M_(symbol) ^(layer) denote a number of modulation symbols per layer transmitted in a LTE subframe. Due to the parallel nature of the multiple antenna techniques used, the same number of modulation symbols are transmitted in each layer. Let M_(symbol) ^(q), qϵ{1,2} be a total number of modulation symbols per transport block q. When the modulation symbols for each of the code words are mapped onto a layer, M_(symbol) ^(layer)=M_(symbol) ^(q), qϵ{1,2}.

When the modulation symbols for a codeword are mapped onto two layers, the number of antenna ports must be four (see 3GPP TS 36.211 V8.6.0 (2009-03), “Physical Channels and Modulation (Release 8), which is incorporate herein by reference).

FIGS. 2a through 2c are diagrams of three cases of transmit blocks (TBs) to downlink layer mappings, with a number of downlink layers being equal to two (FIG. 2a), three (FIG. 2b), and four (FIG. 2c). In FIG. 2, a single TB is mapped to two layers.

FIG. 2a illustrates a single transport block (TB) mapped onto two layers, wherein after codeword-to-layer mapping, M_(symbol) ^(layer)=M_(symbol) ¹/2. FIG. 2b illustrates two transport blocks mapped onto three layers, wherein after codeword-to-layer mapping, M_(symbol) ^(layer)=M_(symbol) ¹=M_(symbol) ²/2. FIG. 2c illustrates two transport blocks mapped onto four layers, wherein after codeword-to-layer mapping, M_(symbol) ^(layer)=M_(symbol) ¹/2=M_(symbol) ²/2.

FIG. 3, which includes FIGS. 3a-3k illustrates codeword-to-layer mappings in LTE-Advanced, wherein FIGS. 3c, 3e, and 3g illustrate single codeword retransmissions when an initial transmission comprises more than one codeword. In LTE-Advanced, DL spatial multiplexing of up to eight layers is considered. In order to avoid increasing the uplink (UL) overhead without a significant loss in performance, up to two transport blocks (TBs) can be transmitted to a scheduled UE in a subframe per DL component carrier.

As illustrated in FIGS. 3a-3k, codeword one (CW1) is a modulation symbol sequence corresponding to TB one (TB1). Similarly, codeword two (CW2) is a modulation symbol sequence corresponding to TB two (TB2). There is a one-to-one relationship between a TB and its modulation symbol sequence, given the modulation order and code rate. Although the transport blocks (e.g., TB1, TB2) are not directly mapped to the spatial layers, rather the modulation symbol sequence (e.g., CW1, CW2) are mapped to the spatial layers, it is understood that in discussion of mapping to spatial layers, CW1 and TB1 may be used interchangeably, and CW2 and TB2 may be used interchangeably. There are one-layer TBs, two-layer TBs (i.e., one TB mapped to two layers), three-layer TBs (i.e., one TB mapped to three layers), and four-layer TBs (i.e., one TB mapped to four layers) in LTE-Advanced.

In particular, a TB may be mapped to three layers or four layers when spatial multiplexing of five to eight layers is used for transmission (as illustrated in FIGS. 3h through 3k). For example, for the five layer (FIG. 3h) and seven layer (FIG. 3j) situations, the following relationships exist:

For five layers, TB1 is mapped to two layers and TB2 is mapped to three layers, thus, M_(symbol) ^(layer)=M_(symbol) ¹/2=M_(symbol) ²/3.

For seven layers, TB1 is mapped to three layers and TB2 is mapped to four layers, thus, M_(symbol) ^(layer)=M_(symbol) ¹/3=M_(symbol) ²/4. Similar relationships exist for six layer and eight layer situations.

One-layer TB sizes and two-layer TB sizes, as defined for LTE, are being reused in LTE-Advanced. One-layer TB size table and two-layer TB size table are defined in LTE (see 3GPP TS 36.213 V8.6.0 (2009-03), “Physical layer procedures (Release 8), which is incorporated herein by reference), with a first being a one-layer TB size (TBS) table of size 27×110, referred to as a one-layer TBS table, and a second being a one-layer to two-layer TBS translation table, referred to as a two-layer TBS table. Design principles for one-layer TB sizes and two-layer TB sizes in LTE are described in detail below (see 3GPP TS 36.212 V8.6.0 (2009-03), “Multiplexing and channel coding (Release 8);” 3GPP TS 36.213 V8.6.0 (2009-03), “Physical layer procedures (Release 8);” R1-081638, “TBS and MCS Signalling and Table;” R1-082211,—“Remaining details of MCS/TBS signaling;” and R1-082719, “Remaining Issues with TBS & MCS Settings;” which are incorporated herein by reference).

Several factors are taken into consideration in designing the one-layer TB sizes. First, in order to avoid padding and reduce receiver complexity, the one-layer TB sizes are defined so that the code block sizes, with transport block CRC bits and code block CRC bits attached, are aligned with Quadratic Permutation Polynomial (QPP) sizes for turbo codes.

Second, some preferred Media Access Control (MAC) sizes should be contained for system requirements in designing one-layer TB sizes, such as 16, 24, 40, 56, 72, 104, 120, 152, 296, 344, 392, 440, 488, and 536 bits.

Third, one-layer TB sizes are computed from the Modulation and Coding Scheme (MCS) table using the reference configuration of one (1) Orthogonal Frequency Division Multiplexed (OFDM) symbol for control region and the four antenna ports configuration. The one-layer TBS table is invariant of control region sizes and antenna configurations.

Fourth, the UE may be unable to decode if the effective code rate is greater than 1. In particular, since the UE may skip decoding a TB in an initial transmission if the effective code rate is higher than 0.930, this factor should be considered for designing TB sizes with higher modulation orders, where the effective code rate is defined as the number of DL information bits (including TB CRC bits and code block CRC bits) divided by the number of physical channel bits on Physical Downlink Shared Channel (PDSCH).

Fifth, every one-layer TB size should occur with sufficient number of times, thus providing the desired flexibility in (re)transmission schedule.

Sixth, the one-layer TB sizes with highest MCS level for every allocated physical resource blocks lead to consistent peak rate scaling across different bandwidths.

The one-layer TB sizes may be designed with consideration of the above listed factors and placed in tabular form, wherein a row index I_(TBS) is obtained from the MCS table and a column index N_(PRB) denotes the number of allocated physical resource blocks.

For 1≤N_(PRB)≤110, the TB size (TBS) may be given by (I_(TBS), N_(PRB)) entry of the one-layer TBS table. The size of the one-layer TBS table used in LTE is 27×110, wherein each of the 27 rows corresponds to a distinct spectral efficiency, and each of the 110 columns corresponds to a given number of physical resource blocks (RB).

To signal the transmit format, including the TB size of a TB, Downlink Control Information (DCI) is used which contains a 5-bit MCS field. The MCS field points to the 32 rows in the MCS table. In the MCS table, three MCS states are reserved for signaling modulation orders for retransmission, and two overlapped MCSs for transitioning from QPSK to 16-QAM, and from 16-QAM to 64-QAM, respectively. Thus there are 27 distinct spectral efficiency levels (i.e., MCS levels), corresponding to the 27 rows of the one-layer TBS table. With the MCS field and the RB allocation, the TB size is obtained by looking up the 27×110 one-layer TBS table.

For a given combination of resources blocks and spectral efficiency, two-layer TB sizes are two times one-layer TB sizes in principle with some adjustment given for CRC bits. Most two-layer TB sizes occur in the one-layer TBS table, thus providing the desired flexibility in (re)transmission schedule.

A method for obtaining the two-layer TBS table based on the one-layer TBS table is described as follows.

First, for 1≤N_(PRB)≤55, the two-layer transport block sizes are given by the (I_(TBS), 2·N_(PRB)) entry of the one-layer TBS table. Second, for 56≤N_(PRB)≤110, a baseline TBS_L1 is taken from the (I_(TBS), N_(PRB)) entry of one-layer TBS table, which is then translated into TBS_L2 using the mapping rule shown in Table 1 below. The two-layer transport block sizes are given by TBS_L2.

Although the two-layer TB sizes are defined by two categories above, collectively an equivalent 27×110 two-layer TB sizes is effectively defined, similar to the explicitly defined 27×110 one-layer TB size table.

TABLE 1 One-layer to two-layer transport block sizes translation table TBS_L1 TBS_L2 1544 3112 1608 3240 1672 3368 1736 3496 1800 3624 1864 3752 1928 3880 1992 4008 2024 4008 2088 4136 2152 4264 2216 4392 2280 4584 2344 4776 2408 4776 2472 4968 2536 5160 2600 5160 2664 5352 2728 5544 2792 5544 2856 5736 2984 5992 3112 6200 3240 6456 3368 6712 3496 6968 3624 7224 3752 7480 3880 7736 4008 7992 4136 8248 4264 8504 4392 8760 4584 9144 4776 9528 4968 9912 5160 10296 5352 10680 5544 11064 5736 11448 5992 11832 6200 12576 6456 12960 6712 13536 6968 14112 7224 14688 7480 14688 7736 15264 7992 15840 8248 16416 8504 16992 8760 17568 9144 18336 9528 19080 9912 19848 10296 20616 10680 21384 11064 22152 11448 22920 11832 23688 12216 24496 12576 25456 12960 25456 13536 27376 14112 28336 14688 29296 15264 30576 15840 31704 16416 32856 16992 34008 17568 35160 18336 36696 19080 37888 19848 39232 20616 40576 21384 42368 22152 43816 22920 45352 23688 46888 24496 48936 25456 51024 26416 52752 27376 55056 28336 57336 29296 59256 30576 61664 31704 63776 32856 66592 34008 68808 35160 71112 36696 73712 37888 76208 39232 78704 40576 81176 42368 84760 43816 87936 45352 90816 46888 93800 48936 97896 51024 101840 52752 105528 55056 110136 57336 115040 59256 119816 61664 124464 63776 128496 66592 133208 68808 137792 71112 142248 73712 146856 75376 149776

A three-layer table may be designed in accordance with an embodiment of the invention as described below. In various embodiments, three-layer TB sizes are defined so that the code block sizes, with TB CRC bits and code block CRC bits attached, are aligned with QPP sizes for turbo codes. The three-layer TB sizes are about three times one-layer TB sizes with adjustment given for CRC bits. Advantageously, most three-layer transport block sizes occur in the one-layer TBS table and the two-layer TBS table, thus providing the desired flexibility in (re)transmission schedule. Since the UE may skip decoding a TB in an initial transmission if the effective code rate is higher than 0.930, the effective code rates should be smaller than 0.930. This should be particularly considered for the highest spectral efficiency, i.e., I_(TBS)=26.

To be able to calculate the effective code rates, the system configurations for up to eight layers in LTE-Advanced is discussed below in accordance with embodiments of the invention. The number of resource elements for data transmission is estimated, based on which the effective code rates can then be obtained.

In 3GPP 56bis, there are two kinds of reference signals, a Channel State Information-Reference Signal (CSI-RS) for measurement and a Demodulation-Reference Signal (DM-RS) for demodulation. For CSI-RS, the periodicity of its transmissions may be specified in terms of an integer number of subframes. For rank three through eight transmissions, a maximum of 24 Resource Elements (Res) (total) is assigned to DM-RS in each Resource Block (RB).

Therefore, assuming one OFDM symbol is used for the control region, eight REs per RB for LTE cell-specific RS (i.e., one antenna port for cell-specific RS), and 24 REs per RB for demodulation reference signals, the effective code rate can be calculated as follows: R_(eff)=(TBS+24+N_(CB)×24)/(N_(PRB)×((168−10−8−24)×N_(layer)×Q_(m))),  (1) considering the specific layout of a RB in 3GPP LTE and LTE-Advanced system. In equation (1), TBS denotes the transport block size, N_(CB) denotes the number of codeblocks in the transport block, N_(layer) denotes the number of spatial layers that the TB is mapped to, Q_(m) denotes the modulation order which can be obtained from the MCS table. In the numerator of equation (1), the two instances of 24 refer to the length-24 codeblock-level CRC, and the length-24 TB-level CRC, respectively. In the denominator of equation (1), 168 is the total number of REs in a RB assuming a normal cyclic prefix; 10 is the number of REs for downlink control in a RB; 8 is the number of REs for LTE cell-specific reference signals assuming one antenna port; and 24 is the number of DM-RS in a RB. In equation (1), the CSI-RS is not considered since it is sparse and most subframes are not expected to contain CSI-RS. Equation (1) will be used to calculate the effective code rates in the transport block size design. Note that equation (1) ignores the scenario where a TB is composed of a single CB, and only considers the scenario where a TB is composed of multiple CBs. This is acceptable since most TB sizes have multiple CBs when it is mapped to multiple layers.

For I_(TBS)=26, the DL target spectral efficiency is 5.55, which is a combination of 64-QAM with code rate 0.9250. With REs taken out for RS and control region, it is found that the effective code rate of a TB mapped to three layers is higher than 0.930 if the I_(TBS)=26 sizes in the one-layer TBS table are scaled three times.

Therefore, in various embodiments, the three-layer TB sizes can be divided into two parts within the row index and two parts within the column index N_(PRB). Each of the four parts are designed independently.

First, for 0≤I_(TBS)≤25, the three-layer TB sizes are three times the one-layer TB sizes in principle with some adjustment given for CRC bits.

For 1≤N_(PRB)≤36 and 0≤I_(TBS)≤25, where 36=└110/3┘, the three-layer TB sizes are given by the (I_(TBS),3·N_(PRB)) entry of the one-layer TBS table. This is because for 1≤N_(PRB)≤36 and 0≤I_(TBS)≤25, the effective code rates for every MCS levels are less than 0.930 if the scaled one-layer table is used. Therefore, in various embodiments, for 1≤N_(PRB)≤36 and 0≤I_(TBS)≤25, the three-layer TB sizes are given by the (I_(TBS),3·N_(PRB)) entry of the one-layer TBS table.

Second, for I_(TBS)=26, the three-layer TB sizes are determined so that the effective code rate is 0.930 or slightly lower. Similarly, for 1≤N_(PRB)≤36 and I_(TBS)=≤26, many of the effective code rates are found to be higher than 0.930 if the (I_(TBS),3·N_(PRB)) entry of the one-layer TBS table is used. Thus the TB sizes are redesigned so that the effective code rates calculated based on Equation (1), with N_(layer)=3 and Q_(m)=6 (64-QAM), should be smaller than 0.930. The final TB sizes for 1≤N_(PRB)≤36 and I_(TBS)=26 is shown in Table 2. In Table 2, for each N_(PRB), two candidate TBS values are provided; the larger value is listed in the row labelled 26, and the smaller of the two is listed in the row labelled 26′. If only one candidate TBS value is provided for a N_(PRB), then the value is used in both row 26 and row 26′.

For each _(NPRB), either TBS candidate (in row 26 or row 26′) may be used. It is preferable to use the larger value in row 26, so that a slightly higher efficiency may be achieved. Alternatively, in some embodiments, the smaller value in the row 26′ can be used, so that the TB can be received with relatively higher reliability. In some embodiments, it is also possible to use values in row 26 for a subset of the _(NPRB), and use values in row 26′ for the rest. In various embodiments, all the TBS values in Table 2 are chosen from the existing values for the one-layer and the equivalent two-layer TBS table. This allows flexible scheduling for the (re)transmission of a TB size. However, in some embodiments, one of the two candidate values listed in Table 2 may be pre-selected, e.g., by the telecommunication operator.

TABLE 2 Three-layer transport block sizes table with 1 ≤ N_(PRB) ≤ 36 and I_(TBS) = 26 in accordance with an embodiment of the invention. N_(PRB) I_(TBS) 1 2 3 4 5 6 7 8 9 10 26  2024 4136 6200 8248 10296 12216 14112 16416 18336 20616 26′ 1992 4008 5992 7992 9912 11832 13536 15840 17568 19848 N_(PRB) I_(TBS) 11 12 13 14 15 16 17 18 19 20 26  22920 24496 26416 29296 30576 32856 35160 36696 39232 40576 26′ 22152 23688 25456 28336 29296 31704 34008 35160 37888 39232 N_(PRB) I_(TBS) 21 22 23 24 25 26 27 28 29 30 26  43816 45352 46888 48936 51024 52752 55056 57336 59256 61664 26′ 42368 43816 45352 46888 48936 51024 52752 55056 57336 59256 N_(PRB) I_(TBS) 31 32 33 34 35 36 26  63776 66592 68808 71112 71112 75376 26′ 61664 63776 66592 68808 68808 75376

Additionally, for 37≤N_(PRB)≤110, since many of the effective code rates for I_(TBS)=26 can be higher than 0.930, three-layer TB sizes are separately designed for 0≤I_(TBS)≤25 and I_(TBS)=26.

For 37≤N_(PRB)≤110 and 0≤I_(TBS)≤25, a TB_L1 to TB_L3 translation table is defined for each unique TB_L1 size in the 37-110 columns of the one-layer TBS table. A baseline TBS_L1 is taken from the (I_(TBS), N_(PRB)) entry of the one-layer TBS table, then 3×TBS_L1 is compared with all entries of the one-layer and two-layer TBS table, and the most adjacent entry will be chosen as TBS_L3. When there are two entries that are equidistant from 3×TBS_L1, one value may be chosen from the two based on considerations such as the effective code rates, data rate and times of occurrence, and so on. Overall, there are 12 TBS_L1 values which have two equidistant entries in the one-layer and two-layer TBS table. These 12 TBS_L1 values are 2280, 2536, 2792, 2984, 3112, 3240, 3368, 3496, 3624, 3752, 3880 and 4008. Both equaldistant options are listed in Table 3 for these 10 TBS_L1 values. Either choice can be used as TBS_L3 in various embodiments. The larger one between these two entries, underscored in Table 3 (shown below), may be preferred due to the slightly higher data rate.

Furthermore, some 3×TBS_L1 are larger than all the entries in the one-layer and two-layer TBS table, there are 10 entries which do not have the adjacent entries in the one-layer and two-layer TBS table that can be used as TBS_L3. These TBS_L1 values are 51024, 52752, 55056, 57336, 59256, 61664, 63776, 66592, 68808, and 71112. For these entries, three-layer TB sizes are three times of TBS_L1 with some adjustment given for CRC bits and should be aligned with QPP sizes for turbo codes. The 10 entries of TBS_L1 and their corresponding TBS_L3 are shown boldfaced in Table 3. Also in Table 3, the two largest TBS_L1 values of 73712 and 75376 do not have a corresponding TBS_L3 value specified, because 73712 and 75376 are used only for I_(TBS)=26 for one-layer TB sizes.

Combining the smaller TBS_L3 that can be looked up in the one-layer and two-layer TBS table and the larger TBS_L3 that are constructed, the one-layer to 3-layer translation table is shown in Table 3.

TABLE 3 One-layer to three-layer TBS translation table with 37 ≤ N_(PRB) ≤ 110 and 0 ≤ I_(TBS) ≤ 25 in accordance with an embodiment of the invention. TBS_L1 TBS_L3 1032 3112 1064 3240 1096 3240 1128 3368 1160 3496 1192 3624 1224 3624 1256 3752 1288 3880 1320 4008 1352 4008 1384 4136 1416 4264 1480 4392 1544 4584 1608 4776 1672 4968 1736 5160 1800 5352 1864 5544 1928 5736 1992 5992 2024 5992 2088 6200 2152 6456 2216 6712 2280 6712/6968 2344 6968 2408 7224 2472 7480 2536 7480/7736 2600 7736 2664 7992 2728 8248 2792 8248/8504 2856 8504 2984 8760/9144 3112 9144/9528 3240 9528/9912 3368  9912/10296 3496 10296/10680 3624 10680/11064 3752 11064/11448 3880 11448/11832 4008 11832/12216 4136 12576 4264 12960 4392 12960 4584 13536 4776 14112 4968 14688 5160 15264 5352 15840 5544 16416 5736 16992 5992 18336 6200 18336 6456 19080 6712 19848 6968 20616 7224 21384 7480 22152 7736 22920 7992 23688 8248 24496 8504 25456 8760 26416 9144 27376 9528 28336 9912 29296 10296 30576 10680 31704 11064 32856 11448 34008 11832 35160 12216 36696 12576 37888 12960 39232 13536 40576 14112 42368 14688 43816 15264 45352 15840 46888 16416 48936 16992 51024 17568 52752 18336 55056 19080 57336 19848 59256 20616 61664 21384 63776 22152 66592 22920 68808 23688 71112 24496 73712 25456 76208 26416 78704 27376 81176 28336 84760 29296 87936 30576 90816 31704 93800 32856 97896 34008 101840 35160 105528 36696 110136 37888 115040 39232 119816 40576 119816 42368 128496 43816 133208 45352 137792 46888 142248 48936 146856 51024 154104 52752 157432 55056 165216 57336 171888 59256 177816 61664 185728 63776 191720 66592 199824 68808 205880 71112 214176 73712 N/A 75376 N/A

For the situation where N_(PRB)={38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72}, each (I_(TBS),N_(PRB)) entry for the three-layer TBS table can also be given by the

$\left( {I_{TBS},\frac{3 \cdot N_{PRB}}{2}} \right)$ entry in the equivalent 27×110 two-layer TBS table which can be constructed by the one-layer to two-layer TB size translation table. The TBS subset thus obtained is different from the TBS obtained via the TB_L1 to TB_L3 translation table defined above in Table 3 in some embodiments. However, since these N_(PRB) values are not consecutive, it may be more difficult to specify or implement than using a table like Table 3 for an entire set of consecutive N_(PRB) values.

Again for I_(TBS)=26 and 37≤N_(PRB)≤110, the three-layer TB sizes are redesigned based on system configurations so that the effective code rates should be smaller than 0.930. Equation (1) is used to calculate the effective code rates, assuming the associated reference configuration and with N_(layer)=3 and Q_(m)=6. The final TB sizes are given in Table 4. In Table 4, for each N_(PRB), two candidate TBS values are provided; the larger value listed in the row labelled 26, and the smaller listed in the row labelled 26′. If only one candidate TBS value is provided for a N_(PRB), then the value is used in both row 26 and row 26′. For each N_(PRB), either TBS candidate (in row 26 or row 26′) may be used. In various embodiments, it is advantageous to use the larger value in row 26, so that a slightly higher efficiency may be achieved. Alternatively, in some embodiments, the smaller value in the row 26′ may be used, so that the TB can be received with relatively higher reliability. Alternatively, some embodiments may use values in row 26 for a subset of the N_(PRB), and use values in row 26′ for the rest.

In various embodiments, all the TBS values in Table 4 less than or equal to 149776 are chosen from the existing values for the one-layer and two-layer TB size table. Advantageously, this allows flexible scheduling for the (re)transmission of a TB size. For values greater than 149776 in Table 4, values in Table 3 are reused where appropriate.

TABLE 4 Three-layer transport block sizes with 37 ≤ N_(PRB) ≤ 110 and I_(TBS) = 26 in accordance with an embodiment of the invention. N_(PRB) I_(TBS) 37 38 39 40 26  76208 78704 81176 81176 26′ 75376 76208 78704 78704 N_(PRB) I_(TBS) 41 42 43 44 45 46 47 48 49 50 26  84760 84760 87936 90816 90816 93800 97896 97896 101840 101840 26′ 81176 81176 84760 87936 87936 90816 93800 93800 97896 97896 N_(PRB) I_(TBS) 51 52 53 54 55 56 57 58 59 60 26  105528 105528 110136 110136 115040 115040 115040 119816 119816 119816 26′ 101840 101840 105528 105528 110136 110136 110136 115040 115040 115040 N_(PRB) I_(TBS) 61 62 63 64 65 66 67 68 69 70 26  124464 124464 128496 128496 133208 133208 133208 142248 142248 146856 26′ 119816 119816 124464 124464 128496 128496 128496 137792 137792 142248 N_(PRB) I_(TBS) 71 72 73 74 75 76 77 78 79 80 26  146856 146856 152976 152976 152976 152976 160032 160032 160032 167752 26′ 142248 142248 151376 151376 151376 151376 159096 159096 159096 165960 N_(PRB) I_(TBS) 81 82 83 84 85 86 87 88 89 90 26  167752 167752 173744 173744 173744 179736 179736 179736 185728 185728 26′ 165960 165960 171888 171888 171888 177816 177816 177816 183744 183744 N_(PRB) I_(TBS) 91 92 93 94 95 96 97 98 99 100 26  185728 191720 191720 191720 197712 197712 197712 203704 203704 209696 26′ 183744 189696 189696 189696 195816 195816 195816 201936 201936 208056 N_(PRB) I_(TBS) 101 102 103 104 105 106 107 108 109 110 26  209696 209696 214176 214176 214176 214176 221680 221680 221680 221680 26′ 208056 208056 209696 209696 209696 209696 214176 214176 214176 214176

A four-layer table may be designed in accordance with an embodiment of the invention as described below. In various embodiments, a four-layer TB sizes are defined so that the code block sizes, with TB CRC bits and code block CRC bits attached, are aligned with QPP sizes for turbo codes. In various embodiments, four-layer TB sizes are two times two-layer TB sizes with some adjustment given for CRC bits. Most four-layer TB sizes occur in the one-layer TBS table, the two-layer TBS table, and the three-layer TBS table, thus providing the desired flexibility in (re)transmission schedule. Since the UE may skip decoding a TB in an initial transmission if the effective code rate is higher than 0.930, the effective code rates should be smaller than 0.930. This should be particularly considered for the highest spectral efficiency, i.e., I_(TBS)=26.

Similar to three-layer TB size design, it is found that the effective code rate of a TB mapped to four layers is higher than 0.930 if the I_(TBS)=26 sizes in the one-layer TBS table are scaled four times (or if the I_(TBS)=26 sizes in the equivalent two-layer TBS table are scaled twice). Therefore, in various embodiments, the four-layer TB size can be divided into two parts: 0≤I_(TBS)≤25 and I_(TBs)=26, and again into two parts: 1≤N_(PRB)≤55 and 56≤N_(PRB)≤110.

In the first part, for 0≤I_(TBS)≤25, the four-layer transport block sizes are twice the two-layer transport block sizes in principle with some adjustment given for CRC bits.

For 1≤N_(PRB)≤55 and 0≤I_(TBS)≤25, where 55=110/2, the four-layer TB sizes are given by the (I_(TBS),2·N_(PRB)) entry of the two-layer TBS table. This is because the effective code rates for every MCS levels are checked and are found to be less than 0.930.

For 56≤N_(PRB)≤110 and 0≤I_(TBS)≤25, a TB_L2 to TB_L4 translation table, as described below, is defined for each unique TB_L2 size in the 56-110 columns of the two-layer TBS table.

In the second part, for I_(TBS)=26, the four-layer TB sizes are determined so that the effective code rate is 0.930 or slightly lower.

For 1≤N_(PRB)≤55 and I_(TBS)=26, many of the effective code rates are found to be higher than 0.930 if the (I_(TBS),2·N_(PRB)) entry of the two-layer TBS table is used. Thus the TB sizes are redesigned so that the effective code rates calculated based on Equation (1), with N_(layer)=4 and Q_(m)=6 (64-QAM), should be smaller than 0.930. The final TB sizes for 1≤N_(PRB)≤55 and I_(TBS)=26 is shown in Table 5. In Table 5, for each N_(PRB), two candidate TBS values are provided, the larger value is listed in the row labelled 26, and the smaller of the two is listed in the row labelled 26′. If only one candidate TBS value is provided for a N_(PRB), then the value is used in both row 26 and row 26′. For each N_(PRB), either TBS candidate (in row 26 or row 26′) may be used. It is preferable to use the larger value in row 26, so that a slightly higher efficiency may be achieved. Alternatively, in some embodiments, the smaller value in the row 26′ can be used, so that the TB can be received with relatively higher reliability. Some embodiments may use values in row 26 for a subset of the N_(PRB), and use values in row 26′ for the rest. In one or more embodiments, all the TBS values in Table 5 are chosen from the existing values for the one-layer, the equivalent two-layer, and the three-layer TBS tables. Advantageously, this allows flexible scheduling for the (re)transmission of a TB size.

TABLE 5 Four-layer TB sizes table with 1 ≤ N_(PRB) ≤ 55 and I_(TBS) = 26 in accordance with an embodiment of the invention N_(PRB) I_(TBS) 1 2 3 4 5 6 7 8 9 10 26  2728 5544 8248 11064 13536 16416 19080 22152 24496 27376 26′ 2664 5352 7992 10680 12960 15840 18336 21384 23688 26416 N_(PRB) I_(TBS) 11 12 13 14 15 16 17 18 19 20 26  30576 32856 35160 37888 40576 43816 46888 48936 52752 55056 26′ 29296 31704 34008 36696 39232 42368 45352 46888 51024 52752 N_(PRB) I_(TBS) 21 22 23 24 25 26 27 28 29 30 26  57336 59256 63776 66592 68808 71112 75376 76208 81176 81176 26′ 55056 57336 61664 63776 66592 68808 73712 75376 78704 78704 N_(PRB) I_(TBS) 31 32 33 34 35 36 37 38 39 40 26  84760 87936 90816 93800 97896 97896 101840 105528 105528 110136 26′ 81176 84760 87936 90816 93800 93800 97896 101840 101840 105528 N_(PRB) I_(TBS) 41 42 43 44 45 46 47 48 49 50 26  110136 115040 119816 119816 124464 128496 128496 133208 133208 137792 26′ 105528 110136 115040 115040 119816 124464 124464 128496 128496 133208 N_(PRB) I_(TBS) 51 52 53 54 55 26  142248 142248 146856 149776 149776 26′ 137792 137792 142248 149776 149776

For 56≤N_(PRB)≤110, since many of the effective code rates for I_(TBS)=26 can be higher than 0.930, four-layer transport block sizes are separately designed for 0≤I_(TBS)≤25 and I_(TBS)=26.

For 0≤I_(TBS)≤25, in order to ensure that TB sizes occur sufficient times, the relationships for one-layer TB sizes translated to two-layer TB sizes are reused as much as possible by two-layer TB sizes translated to four-layer transport block sizes. The translation relationship from one-layer TB sizes to two-layer TB sizes is given in Table 1 (shown previously).

Table 1 includes unique two-layer TB size for 56≤N_(PRB)≤110 under columns labeled TBS_L2, where TBS_L1 denotes one-layer TB sizes and TBS_L2 denotes two-layer TB sizes. For the i-th TBS_L2 entry TBS_L2(i) in Table 1, TBS_L2(i) is used to look up the TBS_L1 entries in Table 1. When the TBS_L1(j) is located where TBS_L1(j)=TBS_L2(i), then TBS_L4(i)=TBS_L2(j). After the search, only twenty entries of TBS_L2(i) do not have the corresponding TBS_L1(j) in Table 1.

The twenty TBS_L2(i) values are the largest 20 TBS_L2 in Table 1. However only 18 TBS_L2 values need to have the translation relationship to TBS_L4, since the largest two TBS_L2 values {146856, 149776}, corresponding to TBS_L1 values {73712, 75376}, are only used for I_(TBS)=26. Thus the following 18 TBS_L2 values need to have the TBS_L4 value defined from scratch: 76208, 78704, 81176, 84760, 87936, 90816, 93800, 97896, 101840, 105528, 110136, 115040, 119816, 124464, 128496, 133208, 137792, and 142248. For these 18 TBS_L2 values, the TBS_L4 values are found which corresponds to 2×TBS_L2 with some adjustment given for CRC bits and should be aligned with QPP sizes for turbo codes. These 18 TBS_L2 values, together with their corresponding TBS_L1 and TBS_L4 values are boldfaced in Table 6.

In Table 6, the TBS_L2 to TBS_L4 translation relationship is shown. Table 6 repeats the TBS_L1 to TBS_L2 translation relationship shown in Table 1.

TABLE 6 Two-layer to four-layer TB sizes translation table with 55 ≤ N_(PRB) ≤ 110 and 0 ≤ I_(TBS) ≤ 25 in accordance with an embodiment of the invention TBS_L1 TBS_L2 TBS_L4 1544 3112 6200 1608 3240 6456 1672 3368 6712 1736 3496 6968 1800 3624 7224 1864 3752 7480 1928 3880 7736 1992 4008 7992 2024 4008 7992 2088 4136 8248 2152 4264 8504 2216 4392 8760 2280 4584 9144 2344 4776 9528 2408 4776 9528 2472 4968 9912 2536 5160 10296 2600 5160 10296 2664 5352 10680 2728 5544 11064 2792 5544 11064 2856 5736 11448 2984 5992 11832 3112 6200 12576 3240 6456 12960 3368 6712 13536 3496 6968 14112 3624 7224 14688 3752 7480 14688 3880 7736 15264 4008 7992 15840 4136 8248 16416 4264 8504 16992 4392 8760 17568 4584 9144 18336 4776 9528 19080 4968 9912 19848 5160 10296 20616 5352 10680 21384 5544 11064 22152 5736 11448 22920 5992 11832 23688 6200 12576 25456 6456 12960 25456 6712 13536 27376 6968 14112 28336 7224 14688 29296 7480 14688 29296 7736 15264 30576 7992 15840 31704 8248 16416 32856 8504 16992 34008 8760 17568 35160 9144 18336 36696 9528 19080 37888 9912 19848 39232 10296 20616 40576 10680 21384 42368 11064 22152 43816 11448 22920 45352 11832 23688 46888 12216 24496 48936 12576 25456 51024 12960 25456 51024 13536 27376 55056 14112 28336 57336 14688 29296 59256 15264 30576 61664 15840 31704 63776 16416 32856 66592 16992 34008 68808 17568 35160 71112 18336 36696 73712 19080 37888 76208 19848 39232 78704 20616 40576 81176 21384 42368 84760 22152 43816 87936 22920 45352 90816 23688 46888 93800 24496 48936 97896 25456 51024 101840 26416 52752 105528 27376 55056 110136 28336 57336 115040 29296 59256 119816 30576 61664 124464 31704 63776 128496 32856 66592 133208 34008 68808 137792 35160 71112 142248 36696 73712 146856 37888 76208 152976 39232 78704 157432 40576 81176 161760 42368 84760 169544 43816 87936 175600 45352 90816 181656 46888 93800 187712 48936 97896 195816 51024 101840 203704 52752 105528 211936 55056 110136 220296 57336 115040 230104 59256 119816 239656 61664 124464 248272 63776 128496 257016 66592 133208 266440 68808 137792 275608 71112 142248 284608 73712 146856 N/A 75376 149776 N/A

For I_(TBS)=26, the four-layer TB sizes are redesigned based on system configurations so that the effective code rates should be smaller than 0.930. Equation (1) is used to calculate the effective code rates, assuming the associated reference configuration and with N_(layer)=4 and Q_(m)=6. The final TB sizes are found and given in Table 7. In Table 7, for each N_(PRB), two candidate TBS values are provided; the larger value listed in the row labelled 26, and the smaller listed in the row labelled 26′. If only one candidate TBS value is provided for a then the value is used in both row 26 and row 26′. For each N_(PRB), either TBS candidate (in row 26 or row 26′) may be used. It is preferable to use the larger value in row 26, so that a slightly higher efficiency may be achieved. Alternatively, the smaller value in the row 26′ can be used, so that the TB can be received with relatively higher reliability. It is also possible to use values in row 26 for a subset of the N_(PRB), and use values in row 26′ for the rest.

TABLE 7 Four-layer TB sizes with 55 ≤ N_(PRB) ≤ 110 and I_(TBS) = 26 in accordance with an embodiment of the invention. N_(PRB) I_(TBS) 56 57 58 59 60 26  155768 159096 159096 165216 165216 26′ 154104 157432 157432 163488 163488 N_(PRB) I_(TBS) 61 62 63 64 65 66 67 68 69 70 26  169544 169544 175600 175600 181656 181656 181656 189696 189696 195816 26′ 167752 167752 173744 173744 179736 179736 179736 187712 187712 193768 N_(PRB) I_(TBS) 71 72 73 74 75 76 77 78 79 80 26  195816 195816 203704 203704 203704 203704 214176 214176 214176 224048 26′ 193768 193768 201936 201936 201936 201936 211936 211936 211936 221680 N_(PRB) I_(TBS) 81 82 83 84 85 86 87 88 89 90 26  224048 224048 230104 230104 230104 239656 239656 239656 248272 248272 26′ 221680 221680 227672 227672 227672 238656 238656 238656 245648 245648 N_(PRB) I_(TBS) 91 92 93 94 95 96 97 98 99 100 26  248272 257632 257632 257632 263624 263624 263624 272496 272496 278552 26′ 245648 257016 257016 257016 263136 263136 263136 269616 269616 275608 N_(PRB) I_(TBS) 101 102 103 104 105 106 107 108 109 110 26  278552 278552 284608 284608 284608 284608 296720 296720 296720 296720 26′ 275608 275608 278552 278552 278552 278552 284608 284608 284608 284608

The four-layer TB sizes can be alternatively designed by setting the four-layer TB sizes to be four times the one-layer TB sizes. The above discussed design of four-layer TB sizes that are twice the two-layer TB sizes. Theoretically, this is equivalent to designing four-layer TB sizes that are four times the one-layer TB sizes. However, because the two-layer TB sizes are not exactly twice the one-layer TB sizes, a translation table based on four times the one-layer TB sizes may be different from Table 6 for some TBS_L1 values. On the other hand, the I_(TBS)=26 values in Table 6 and Table 7 does not change because they are determined based on the effective code rates.

For TBS_L1 values in the range of 1544≤TBS_L1≤36696, there are four TBS_L1 values that map to different TBS_L4 values with that in Table 6 if TBS_L4 is taken to be the closest value to 4×TBS_L1 in one-layer and two-layer TB sizes. The four TBS_L1 values are: 3752, 6200, 6712, and 29296. The relevant translation to TBS_L4 is shown in Table 8.

For TBS_L1 values greater than 36696, the TBS_L4 values are computed rather than looked up from existing one-layer and two-layer TBS table. If TBS_L4 is taken to be the closest value to 4×TBS_L1, TBS_L4 entries different from those in Table 6 may be found. For example, five TBS_L1 values, {37888, 59256, 61664, 63776, and 68808} have TBS_L4 translations different from Table 6, as shown in Table 8. Overall, Table 8contains the TBS_L4 translation entries different with those in Table 6. Translation for the rest of the sizes is the same as Table 6.

TABLE 8 Alternative one-layer to four-layer TB sizes translation table in accordance with an embodiment of the invention TBS_L1 TBS_L2 TBS_L4 3752 7480 15264 6200 12576 24496 6712 13536 26416 29296 59256 115040 37888 76208 151376 59256 119816 236160 61664 124464 245648 63776 128496 254328 68808 137792 275376

FIG. 4 illustrates a flow diagram of operations 300 in the design of TB sizes for a codeword-to-N-layer mapping, where N is greater than or equal to three (3). Operations 300 may be indicative of operations taking place in a processor or a computer used to map codewords to N-layers, producing a N-layer TBS table.

Operations 300 may begin with a processor selecting a row index (I_(TBS)) from a set of possible row indices, such as from a MCS table (block 305). The row index specifies a modulation and coding scheme to be used. The processor may have a list of row indices and may start at one end of the list and continue towards the other end of the list, for example. The processor may check to determine if the effective code rate of a TB mapped onto N-layers using the selected modulation and coding scheme will exceed a maximum desired code rate (block 310).

If the effective code rate does not exceed the maximum desired code rate, then for entries of the N-layer TBS table associated with the row index I_(TRS) and column index N_(PRB), where N_(PRB) is an integer within a range of [1, floor(max_N_(PRB)/N)], the TB size may be given by the (I_(TBS), N×N_(PRB)) entry of the one-layer TBS table (block 315). Here max_N_(PRB) is the max number of physical resource blocks that can be allocated. For example, if the one-layer TBS table is of size 27×110, and N=3, then for entries of the three-layer TBS table within range [1 to 36], where max_N_(PRB)=110 and floor (max_N_(PRB)/N)=36, the entries are given by entry (I_(TBS), 3·N_(PRB)) of the one-layer TBS table.

For entries where N_(PRB) is an integer outside of the range of [1, floor(max_N_(PRB)/N)], the TB size may be defined using a translation table, such as Table 3 shown above (block 320). If possible, the entries in the translation table may be defined so that the N-layer TBS reuses existing TB sizes, such as values in the one-layer and two-layer TBS table (block 325). Furthermore, some N×TBS_L1 entries are larger than all the entries in the one-layer and two-layer TBS table. In one embodiment when N=3, there are 10 entries which do not have adjacent entries in the one-layer and two-layer TBS table that can be used as the N-layer TBS. For a three-layer table, these TBS_L1 values are 51024, 52752, 55056, 57336, 59256, 61664, 63776, 66592, 68808, and 71112. For these entries, three-layer TB sizes are three times of TBS_L1 with some adjustment given for CRC bits and should be aligned with QPP sizes for turbo codes. The 10 entries of one-layer TBS (TBS_L1) and their corresponding three-layer TBS (TBS_L3) are shown boldfaced in Table 3. If there are additional row indices to process (block 330), the processor may return block 305 to select another row index, else operations 300 may terminate.

If the effective code rate exceeds the maximum desired code rate (block 310), then entries of the N-layer TBS table that exceed the maximum desired code rate may be redesigned so that the effective code rate does not exceed the maximum desired code rate (block 335). If there are additional row indices to process (block 330), the processor may return block 305 to select another row index, else operations 300 may terminate.

Embodiments of the invention for uplink MIMO will next be described.

Uplink spatial multiplexing of up to four layers is considered for LTE-Advanced while only a single layer is allowed in LTE. As specified in 3GPP TS 36.814, in the uplink single user spatial multiplexing, up to two transport blocks can be transmitted from a scheduled UE in a subframe per uplink component carrier. Each transport block is likely to have its own MCS level. Depending on the number of transmission layers, the modulation symbols associated with each of the transport blocks are mapped onto one or two layers according to the same principle as in Rel-8 E-UTRA downlink spatial multiplexing.

Since in Rel-8 uplink transport block sizes are defined for one spatial layer only, there is a need to define the uplink transport block sizes which are mapped to two layers in Rel-10. While it is possible to reuse the Rel-10 two-layer TB sizes defined for DL, it is shown below that this is not conducive to the implementation of per-layer successive interference cancellation (SIC).

As described below, embodiments of the invention provide improved design for TB size allocation for improving uplink performance. In various embodiments, the new transport block sizes for uplink are designed for LTE-Advanced to facilitate successive interference cancellation in the receiver.

Code block segmentation and successive interference cancellation receiver will be first described because of their implications in designing a two-layer table. A transport block generated by MAC layer is passed to the physical layer for channel coding and other processing before transmission over the air. As described in 3GPP TS 36.212 V8.6.0 (2009-03), Multiplexing and channel coding, which is incorporated herein by reference, each TB is first attached with L=24 TB-level CRC bits. Then code block segmentation is performed on a TB to form code blocks (CBs). The turbo encoder individually encode each code blocks.

Let B be the TB size plus the TB-level CRC bits, i.e., B=TBS+L, where TBS refers to the transport block size. If B is smaller than Z, the entire TB including the TB-level CRC bits is treated as one code block (CB) and passed to turbo encoder. If B is larger than the maximum code block size Z, segmentation of the input bit sequence is performed and an additional CRC sequence of L=24 bits is attached to each code block. Here the maximum code block size is Z=6144 which is the largest QPP turbo interleaver length. As agreed for 3GPP LTE, the TB sizes are chosen such that no filler bits are necessary, and the code blocks are all of the same size.

Total number of code blocks C is determined by:

if B ≤ Z   L = 0   Number of code blocks: C = 1    B′ = B else   L = 24   Number of code blocks: C = ┌B /(Z − L)┐.    B′ = B + C · L end if

The code block sizes are B′/C.

When MIMO is used, modulation symbols of a TB is mapped to the spatial layers before transmitted by the multiple transmit antennas. At the receiver end, the received symbols of a TB are processed in the receiver to estimate the transmitted TB. To facilitate SIC, it is proposed in R1-091093, “Uplink SU-MIMO in LTE-Advanced,” Ericsson, 3GPP TSG-RAN WGI #56, Athens, Greece, February 9-Feb. 13, 2009, which is incorporated herein by reference, that “One CRC per layer” should be used, taking advantage of the “functionality of one CRC per code block”. This leads to a proposed codeword-to-layer mapping for uplink spatial multiplexing, as shown in Table 1. In Table 1, a codeword refers to the sequence of modulation symbols corresponding to a TB, M_(symbol) ^(layer) denotes the number of modulation symbols per layer transmitted in a LTE subframe, d^((i)) denotes the modulation symbols of the i-th TB, x^((i)) denotes the modulation symbol on the i-th antenna port.

TABLE 9 Codeword-to-layer mapping for UL spatial multiplexing in accordance with an embodiment of the invention Number Number of Codeword-to-layer mapping of layers code words i = 0, 1, . . . , M_(symb) ^(layer) − 1 2 1 x⁽⁰⁾ (i) = d⁽⁰⁾ (i) M_(symb) ^(layer) = M_(symb) ⁽⁰⁾/2 x⁽¹⁾ (i) = d⁽⁰⁾ (M_(symb) ^(layer) + i) 3 2 x⁽⁰⁾ (i) = d⁽⁰⁾ (i) M_(symb) ^(layer) = M_(symb) ⁽⁰⁾ = M_(symb) ⁽¹⁾/2 x⁽¹⁾ (i) = d⁽¹⁾ (i) x⁽²⁾ (i) = d⁽¹⁾ (M_(symb) ^(layer) + i) 4 2 x⁽⁰⁾ (i) = d⁽⁰⁾ (i) M_(symb) ^(layer) = M_(symb) ⁽⁰⁾/2 = M_(symb) ⁽¹⁾/2 x⁽¹⁾ (i) = d⁽⁰⁾ (M_(symb) ^(layer) + i) x⁽²⁾ (i) = d⁽¹⁾ (i) x⁽³⁾ (i) = d⁽¹⁾ (M_(symb) ^(layer) + i)

This mapping allows per-layer SIC, considering that a transport block goes through the code block segmentation process, as defined in 3GPP TS 36.212. As defined in 3GPP TS 36.212, a TB is appended with 24 TB-level CRC bits and passed to the code block segmentation process. For a TB (including CRC bits) greater than 6144 bits, the TB is segmented into code blocks. Each code block is appended with CB-level CRC bits. Each code block (including CB-level CRC bits) is then turbo encoded individually. With the mapping in Table 1, the CB-level CRC can be utilized to form a per-layer CRC check, thus allowing per-layer SIC.

Without channel interleaving to mix bits of code blocks, the codeword to layer mapping in Table 9 would keep bits of a given code block together, except possibly at the end of the first layer and the beginning of the second layer. For a TB composed of an even number of code blocks, the method maps an integer number of code blocks to a layer, thus no CB will be divided between two layers.

FIG. 5, which includes FIGS. 5a and 5b, illustrates mapping a transport block to multiple uplink layers, wherein FIG. 5a illustrates mapping of a transport block having two code blocks to two layers, and wherein FIG. 5b illustrates mapping of a transport block having three code blocks to three layers, in accordance with embodiments of the invention.

FIG. 5a illustrates a mapping of a TB 505 with two code blocks to two layers. As shown in FIG. 5a, TB 505 includes two code blocks (CB1 510 and CB2 511). Each of the two code blocks also includes a CB-level CRC. The mapping results in one code block in each of the two uplink layers (shown as CB1 520 and CB2 521). Additionally, each uplink layer has one CRC due to a per-code block CRC defined in the LTE Rel-8.

Although shown in FIG. 5a (and in other figures discussed herein) as being a single contiguous code block on a single layer when an entire code block is mapped onto the single layer for simplicity reasons (for example, CB1 520), in an actual communications system, the code block may be spread over a layer. For example, modulation symbols of the code block may not be in a proper order (such as due to interleaving or some other information dispersal technique), modulation symbols may not be contiguous (such as due to insertion of control information, error correction/detection information, bit puncturing, and so forth). Therefore, the illustration of a single contiguous code block should not be construed as being limiting to either the spirit or the scope of the embodiments.

In general, if a TB comprises an even number of code blocks (denoted 2C), each uplink layer may be assigned C code blocks and each code block would have a CRC. Therefore, each uplink layer has an equivalent CRC and an uplink layer may be deemed correct if all C code block-level CRC checks correctly, while an uplink layer may be deemed incorrect if one or more of the C code block-level CRC checks incorrectly. SIC may then be facilitated as an entire set of bits of a first layer (e.g., layer one) and can be used for interference cancellation of bits of a second layer (e.g., layer two) when the first layer's CRC checks correctly, and vice versa.

For C=1, i.e., the TB size is smaller than or equal to 6120 bits, and not segmented into code blocks. In this case, only TB-level CRC bits are attached to the TB, without any CB-level CRC bits. In this case, the receiver may use MMSE or ML algorithm.

While the discussion focuses on the case where channel interleaving is not used, the same discussion holds if per-layer channel interleaving is used. With channel interleaving where bits of different layer are interleaved separately, and an even number of CBs, bits of a given code block will be kept in the same layer with the codeword to layer mapping in Table 9.

The basic SIC receiver can be enhanced to exploit the fact that each code block in LTE has CB-level CRC. One possible way of performing SIC is discussed below for the case of one TB being mapped to two layers. Due to the presence of CB-level CRC, a fraction or the whole of a layer is protected by CRC bits, if a TB is composed of two or more code blocks. Rather than requiring the correctness of the entire layer being confirmed before interference cancellation as required by the basic SIC, a partial interference cancellation can be carried out as long as correctness of any part of the layer is confirmed.

One way to perform the enhanced SIC receiver is described here. First a 2×2 MMSE is first performed at the receiver. The layer with higher SINR is identified and decoded.

(a) After turbo decoding, CBs that are fully contained in the stronger layer are CRC checked. The CBs that are deemed correctly received can be used to reconstruct interference. The interference can then be cancelled from the buffered receive samples. The data of second layer can then be estimated and decoded. Note that this is different from the basic SIC processing that part of the bits, vs. all the bits, of the layer can be used for cancellation. For example, if the stronger layer carries 2.5 CBs, and only one CB is correctly received, the correct CB can be used for cancellation.

(b) After the processing of the stronger layer, likely with a certain degree of interference cancelled for the weaker layer, then the weaker layer is turbo decoded and CRC checked. If the weaker layer (or part of it) passes the CRC check, then the weaker layer can be used to cancel interference for the stronger layer, if the corresponding part of the stronger layer was not detected correctly.

(c) Iterate (a) and (b) until both layers are correctly decoded, or no improvement is observed, or a predefined number of iterations are reached. If both layers fail the CRC checks after a predefined number of iterations, then both TBs are declared to be in error.

In the above, the description included the case where a TB is segmented into an odd number of CBs and a CB may be mapped to layers. However, if a TB is segmented into an even number of CBs, the SIC receiver can be simplified because no layer contains a partial CB.

While the procedure above only discusses SIC between layers corresponding to a TB, the same principle can be applied between TBs if two TBs are used as in the case of 3 and 4 layers in Table 9. Since each TB has TB-level CRC, the SIC receiver can utilize both the CB-level CRC and the TB-level CRC.

FIG. 5b illustrates a mapping of a TB 555 with three code blocks to three layers. As shown in FIG. 5b, TB 555 includes three code blocks (CB1 560, CB2 561, and CB3 562). Each of the three code blocks include a CB-level CRC. The mapping results in one code block in each of the three uplink layers (shown as CB1 570, CB2 571, and CB3 573). The use of code blocks that are multiples of three in the TB 555 ensures enhanced SIC as described above for the two-layer case. Similar to the two layer case, for C=1, i.e., the TB size is smaller than or equal to 6120 bits, and not segmented into code blocks.

The design of uplink two-layer transport block sizes will now be described in accordance with an embodiment of the invention.

Uplink transport block sizes are defined and signaled similar to downlink. For uplink, to signal the transmit format, including the TB size of a TB, the DCI (downlink control information) is used which contains a 5-bit MCS field. The MCS field points to the 32 rows in the MCS Table, “Modulation, TBS index and redundancy version table for PUSCH,” in 3GPP TS 36.213. In the MCS table, three MCS states are reserved for signaling redundancy version for retransmission, and two overlapped MCSs for transitioning from QPSK to 16-QAM, and from 16-QAM to 64-QAM, respectively. Thus there are 27 distinct spectral efficiency levels (i.e., MCS levels), corresponding to the 27 rows of the Table of one-layer transport block sizes. With the MCS field and the RB allocation, the TB size is obtained by looking up the 27×110 one-layer transport block size table. As currently defined in 3GPP TS 36.213, the uplink one-layer TB size table is the same as the downlink one-layer TB size table. Although nominally, the uplink TBS table reuses the DL TBS table and thus contains TBS for N_(PRB) from 1 to 110, only a subset of the N_(PRB) values are actually used for uplink, as shown below.

While the uplink TB size table appears to be of the same dimension as the downlink TB size table, in reality on the uplink only certain N_(PRB) values are valid. As specified in 3GPP TS 36.211 V8.5.0 (2008-12), Physical Channels and Modulation, which is incorporated herein by reference, the variable M_(sc) ^(PUSCH)=M_(RB) ^(PUSCH)·N_(sc) ^(RB), where M_(RB) ^(PUSCH) represents the bandwidth of the PUSCH in terms of resource blocks, and shall fulfill M_(RB) ^(PUSCH)=2^(α) ² ·3^(α) ³ ·5^(α) ⁵ ≤N_(RB) ^(UL) where α₂,α₃,α₅ is a set of non-negative integers.

Since for 3GPP LTE, the maximum N_(RB) ^(UL) defined is 110, the valid M_(RB) ^(PUSCH) values are:

$\begin{matrix} \begin{matrix} \left\{ 1 \right. & 2 & 3 & 4 & 5 & 6 & 8 & 9 & 10 & 12 \\ 15 & 16 & 18 & 20 & 24 & 25 & 27 & 30 & 32 & 36 \\ 40 & 45 & 48 & 50 & 54 & 60 & 64 & 72 & 75 & 80 \\ 81 & 90 & 96 & 100 & \left. 108 \right\} & \; & \; & \; & \; & \; \end{matrix} & (2) \end{matrix}$

M_(RB) ^(PUSCH) in 3GPP TS 36.211 is equivalent to N_(PRB) which is the column index of the TB size table. Thus for the uplink TB size table design, only N_(PRB) of the above values need to be considered.

Similar to downlink, the method for obtaining uplink two-layer transport block sizes based on one-layer transport block sizes can be given below.

(a) For 1≤N_(PRB)≤55, the two-layer transport block sizes are given by the (I_(TBS),2·N_(PRB)) entry of Table for one-layer transport block sizes.

(b) For 56≤N_(PRB)≤110, a baseline TBS_L1 is taken from the (I_(TBS),N_(PRB)) entry of Table for one-layer transport block sizes, which is then translated into TBS_L2 using a mapping rule (e.g., using Table 1). The two-layer transport block sizes are given by TBS_L2.

However, unlike downlink transmission, for both (a) and (b), if the transport block size is greater than 6120, the two-layer TBS need to contain an even number of code blocks when segmented, to facilitate SIC. Thus the TBS_L2 values obtained from the TBS tables defined for downlink may need to be replaced by another value TBS_L2′. Below the two-layer TBS design for 5≤N_(PRB)≤110 is shown in details, as an example of designing the entire uplink two-layer TBS. In other words, a one-layer to two-layer TBS translation table is designed below for the TBS in the following N_(PRB) columns in the one-layer TBS table: N_(PRB)={60, 64, 72, 75, 80, 81, 90, 96, 100, 108}  (3)

For N_(PRB) values in (3), a baseline TBS_L1 is taken from the (I_(TBS),N_(PRB)) entry of Table for one-layer transport block sizes, which is then translated into TBS_L2 using the one-layer to two-layer TBS translation table.

If the TBS_L1 to TBS_L2 translation relationship in Table 1 is reused, the translation table for uplink MIMO would be as shown in Table 10, where N_(cb) _(_)L2 column shows the number of code blocks segmented from TBS_L2. Note that certain TBS_L1 values in Table 1 are not included in Table 10, due to the fact that only N_(PRB) values in (3) need to be considered for uplink.

For TBS_L2 values with odd N_(cb) _(_)L2 values and N_(cb) _(_)L2>2 in Table 10, the TBS_L2 need to be redesigned to facilitate per-layer SIC receiver. The results of the redesign is shown in Table 11, where TBS_L2′ shows the proposed two-layer TB size, and N_(cb) _(_)L2′ shows the number of code blocks segmented from TBS_L2′. For each TBS_L1 entry, the corresponding TBS_L2′ value is found by using the TBS of an even number of CBs that is closest to (2×TBS_L1).

In an embodiment of the invention, the TBS_L2′ values for uplink are found using the following steps:

i) Find TBS_L2 as defined for downlink in 3GPP TS 36.213;

ii) Use code block segmentation procedure to find C, the number of CBs for TBS_L2.

-   -   a) If C is even, TBS_L2 defined for downlink is used for uplink         also, i.e., TBS_L2′=TBS_L2.     -   b) If C is odd, TBS_L2′ value is found by using the TBS of an         even number of CBs that is closest to (2×TBS_L1).

TABLE 10 One-layer to two-layer transport block sizes translation table using relationship in Table 1 in accordance with an embodiment of the invention. TBS_L1 TBS_L2 N_(cb)_L2 1672 3368 1 1800 3624 1 1992 4008 1 2088 4136 1 2152 4264 1 2216 4392 1 2280 4584 1 2344 4776 1 2536 5160 1 2600 5160 1 2664 5352 1 2728 5544 1 2792 5544 1 2856 5736 1 2984 5992 1 3240 6456 2 3368 6712 2 3496 6968 2 3624 7224 2 3752 7480 2 4008 7992 2 4264 8504 2 4392 8760 2 4584 9144 2 4776 9528 2 5160 10296 2 5352 10680 2 5544 11064 2 5736 11448 2 6200 12576 3 6456 12960 3 6712 13536 3 6968 14112 3 7224 14688 3 7480 14688 3 7736 15264 3 7992 15840 3 8248 16416 3 8504 16992 3 8760 17568 3 9144 18336 3 9528 19080 4 9912 19848 4 10296 20616 4 10680 21384 4 11064 22152 4 11448 22920 4 11832 23688 4 12216 24496 5 12576 25456 5 12960 25456 5 13536 27376 5 14112 28336 5 14688 29296 5 15264 30576 5 15840 31704 6 16416 32856 6 16992 34008 6 17568 35160 6 18336 36696 6 19080 37888 7 19848 39232 7 20616 40576 7 21384 42368 7 22152 43816 8 22920 45352 8 23688 46888 8 24496 48936 8 25456 51024 9 26416 52752 9 27376 55056 9 28336 57336 10 29296 59256 10 30576 61664 11 31704 63776 11 32856 66592 11 34008 68808 12 35160 71112 12 36696 73712 13 37888 76208 13 39232 78704 13 40576 81176 14 42368 84760 14 43816 87936 15 45352 90816 15 46888 93800 16 48936 97896 16 51024 101840 17 52752 105528 18 55056 110136 18 57336 115040 19 59256 119816 20 61664 124464 21 63776 128496 21 66592 133208 22 68808 137792 23 71112 142248 24 75376 149776 25

TABLE 11 One-layer to two-layer transport block sizes translation table: Redesigned Subset of Table 10 in accordance with an embodiment of the invention. TBS_L1 TBS_L2 Ncb_L2 TBS_L2′ Ncb_L2′ 6200 12576 3 12216 2 6456 12960 3 12216 2 6712 13536 3 12216 2 6968 14112 3 12216 2 7224 14688 3 12216 2 7480 14688 3 12216 2 7736 15264 3 18568 4 7992 15840 3 18568 4 8248 16416 3 18568 4 8504 16992 3 18568 4 8760 17568 3 18568 4 9144 18336 3 18568 4 12216 24496 5 24456 4 12576 25456 5 24456 4 12960 25456 5 24456 4 13536 27376 5 24456 4 14112 28336 5 30936 6 14688 29296 5 30936 6 15264 30576 5 30936 6 19080 37888 7 36696 6 19848 39232 7 36696 6 20616 40576 7 43304 8 21384 42368 7 43304 8 25456 51024 9 48936 8 26416 52752 9 55416 10 27376 55056 9 55416 10 30576 61664 11 61176 10 31704 63776 11 61176 10 32856 66592 11 68040 12 36696 73712 13 73416 12 37888 76208 13 73416 12 39232 78704 13 80280 14 43816 87936 15 85656 14 45352 90816 15 92776 16 51024 101840 17 104376 18 57336 115040 19 117256 20 61664 124464 21 122376 20 63776 128496 21 128984 22 68808 137792 23 134616 22 75376 149776 25 154104 26

Similar to N_(PRB) values in (3), the two-layer TBS corresponding to values N_(PRB) smaller than 56 are also found using the steps in i) and ii). Overall, the entire two-layer TB size table is shown below in Table 12 for all the N_(PRB) values in (2).

TABLE 12 Uplink two-layer transport block size table of size 27 × 35 in accordance with an embodiment of the invention. N_(PRB) I_(TBS) 1 2 3 4 5 6 8 9 10 12 0 32 88 152 208 256 328 424 488 536 648 1 56 144 208 256 344 424 568 632 712 872 2 72 176 256 328 424 520 696 776 872 1064 3 104 208 328 440 568 680 904 1032 1160 1384 4 120 256 408 552 696 840 1128 1288 1416 1736 5 144 328 504 680 872 1032 1384 1544 1736 2088 6 176 392 600 808 1032 1224 1672 1864 2088 2472 7 224 472 712 968 1224 1480 1928 2216 2472 2984 8 256 536 808 1096 1384 1672 2216 2536 2792 3368 9 296 616 936 1256 1544 1864 2536 2856 3112 3752 10 328 680 1032 1384 1736 2088 2792 3112 3496 4264 11 376 776 1192 1608 2024 2408 3240 3624 4008 4776 12 440 904 1352 1800 2280 2728 3624 4136 4584 5544 13 488 1000 1544 2024 2536 3112 4136 4584 5160 6200 14 552 1128 1736 2280 2856 3496 4584 5160 5736 6968 15 600 1224 1800 2472 3112 3624 4968 5544 6200 7224 16 632 1288 1928 2600 3240 3880 5160 5992 6456 7736 17 696 1416 2152 2856 3624 4392 5736 6456 7224 8760 18 776 1544 2344 3112 4008 4776 6200 7224 7992 9528 19 840 1736 2600 3496 4264 5160 6968 7736 8504 10296 20 904 1864 2792 3752 4584 5544 7480 8248 9144 11064 21 1000 1992 2984 4008 4968 5992 7992 9144 9912 12216 22 1064 2152 3240 4264 5352 6456 8504 9528 10680 12216 23 1128 2280 3496 4584 5736 6968 9144 10296 11448 12216 24 1192 2408 3624 4968 5992 7224 9912 11064 12216 12216 25 1256 2536 3752 5160 6200 7480 10296 11448 12216 12216 26 1480 2984 4392 5992 7480 8760 11832 12216 12216 18568 N_(PRB) I_(TBS) 15 16 18 20 24 25 27 30 32 36 0 808 872 1000 1096 1320 1384 1480 1672 1800 1992 1 1064 1160 1288 1416 1736 1800 1992 2152 2344 2600 2 1320 1416 1608 1800 2152 2216 2408 2664 2856 3240 3 1736 1864 2088 2344 2792 2856 3112 3496 3752 4264 4 2152 2280 2600 2856 3496 3624 3880 4264 4584 5160 5 2664 2792 3112 3496 4264 4392 4776 5352 5736 6200 6 3112 3368 3752 4136 4968 5160 5736 6200 6712 7480 7 3624 3880 4392 4968 5992 6200 6712 7224 7736 8760 8 4264 4584 4968 5544 6712 6968 7480 8504 9144 9912 9 4776 5160 5736 6200 7480 7992 8504 9528 10296 11448 10 5352 5736 6200 6968 8504 8760 9528 10680 11448 12216 11 5992 6456 7224 7992 9528 9912 11064 12216 12216 12216 12 6712 7224 8248 9144 11064 11448 12216 12216 12216 18568 13 7736 8248 9144 10296 12216 12216 12216 18568 18568 18568 14 8504 9144 10296 11448 12216 12216 18568 18568 18568 20616 15 9144 9912 11064 12216 12216 18568 18568 18568 19848 22152 16 9912 10296 11832 12216 18568 18568 18568 19848 20616 23688 17 10680 11448 12216 12216 18568 18568 19848 21384 22920 24456 18 11832 12216 12216 18568 19080 19848 21384 23688 24456 30936 19 12216 12216 18568 18568 20616 21384 22920 24456 24456 30936 20 12216 12216 18568 18568 22152 22920 24456 30936 30936 34008 21 12216 18568 18568 19848 24456 24456 24456 30936 31704 36696 22 18568 18568 19080 21384 24456 24456 30936 32856 34008 36696 23 18568 18568 20616 22920 24456 30936 30936 34008 36696 43304 24 18568 19848 22152 24456 30936 30936 32856 36696 36696 43816 25 19080 20616 22920 24456 30936 31704 34008 36696 43304 45352 26 22152 23688 24456 30936 35160 36696 36696 43816 46888 55416 N_(PRB) I_(TBS) 40 45 48 50 54 60 64 72 75 80 0 2216 2536 2664 2792 2984 3368 3624 4008 4136 4392 1 2856 3240 3496 3624 4008 4264 4776 5160 5544 5736 2 3624 4008 4264 4584 4776 5352 5736 6456 6712 7224 3 4776 5352 5544 5736 6200 6968 7480 8504 8760 9528 4 5736 6456 6968 7224 7736 8504 9144 10296 10680 11448 5 6968 7992 8504 8760 9528 10680 11448 12216 12216 12216 6 8248 9528 9912 10296 11448 12216 12216 12216 18568 18568 7 9912 11064 11832 12216 12216 12216 18568 18568 18568 19848 8 11064 12216 12216 12216 12216 18568 18568 19848 21384 22152 9 12216 12216 12216 18568 18568 19080 20616 22920 23688 24456 10 12216 18568 18568 18568 19080 21384 22920 24456 24456 30936 11 18568 18568 19080 19848 22152 24456 24456 30936 30936 32856 12 18568 20616 22152 22920 24456 24456 30936 32856 34008 36696 13 20616 22920 24456 24456 30936 30936 32856 36696 36696 43304 14 22920 24456 24456 30936 30936 34008 36696 43304 43304 45352 15 24456 24456 30936 30936 32856 36696 36696 43816 45352 48936 16 24456 30936 31704 32856 35160 36696 43304 46888 48936 55416 17 30936 32856 35160 36696 36696 43304 45352 55416 55416 59256 18 31704 35160 36696 36696 43304 46888 48936 57336 59256 61176 19 34008 36696 43304 43816 46888 48936 55416 61176 68040 68808 20 36696 43304 45352 46888 48936 57336 59256 68808 71112 73416 21 36696 45352 48936 48936 55416 61176 61176 73416 73416 81176 22 43816 48936 48936 55416 59256 68040 68808 80280 81176 85656 23 45352 48936 55416 57336 61176 68808 73416 81176 85656 92776 24 48936 55416 59256 61176 68040 73416 80280 85656 92776 97896 25 48936 57336 61176 61176 68808 73416 81176 92776 93800 104376 26 59256 68040 71112 73416 81176 85656 93800 105528 110136 119816 N_(PRB) I_(TBS) 81 90 96 100 108 0 4584 5160 5352 5544 5992 1 5992 6456 6968 7224 7992 2 7224 7992 8504 9144 9528 3 9528 10680 11064 11448 12216 4 11448 12216 12216 12216 18568 5 12216 18568 18568 18568 19080 6 18568 19080 19848 20616 22920 7 19848 22152 23688 24456 24456 8 22920 24456 24456 30936 30936 9 24456 30936 30936 31704 34008 10 30936 31704 34008 35160 36696 11 32856 36696 36696 36696 43816 12 36696 43304 43816 45352 48936 13 43304 45352 48936 48936 55416 14 45352 48936 55416 57336 61176 15 48936 55416 59256 61176 68040 16 55416 59256 61176 68040 71112 17 59256 68040 71112 73416 80280 18 61176 71112 73416 80280 84760 19 71112 80280 81176 85656 93800 20 73416 84760 92776 93800 104376 21 81176 92776 97896 104376 110136 22 85656 97896 104376 110136 119816 23 93800 104376 110136 117256 122376 24 97896 110136 119816 122376 133208 25 104376 117256 122376 128984 134616 26 119816 133208 142248 154104 154104

FIG. 6 illustrates a communications device 600 in accordance with embodiments of the invention. Communications device 600 may be a base station (or a mobile station) communicating using spatial multiplexing on a DL (or on an UL for a mobile station). Communications device 600 includes a processor 605 that may be used to execute applications and programs. Communications device 600 includes a receive chain and a transmit chain.

The transmit chain of communications device 600 includes a transport channel processing unit 620 that may provide transport channel processing such as applying CRC data to a transport block, segmenting, channel coding, rate matching, concatenating, and so on, to information to be transmitted.

Transmit chain of communications device 600 also includes a channel interleaver 625. Channel interleaver 625 may be implemented as a multi-layer channel interleaver with a plurality of sub-channel interleavers, wherein there may be as many sub-channel interleavers as there are layers that a codeword may be mapped onto. Channel interleaver 625 may follow any of a variety of interleaver, such as a block interleaver, bit reversal interleaver, and so forth, while the sub-channel interleavers may be modulation-symbol or bit level interleavers, for example.

Transmit chain of communications device 600 further includes a physical channel processing unit 630, transmitter circuitry 635, and a transmitter 640. Physical channel processing unit 630 may provide the codeword-to-layer mapping function, such as those described previously. Physical channel processing unit 630 may provide other physical channel processing such as scrambling, modulation/coding scheme selection and mapping, signal generating, and so forth. Transmitter circuitry 635 may provide processing such as parallel to serial converting, amplifying, filtering, and so on. Transmitter 640 may transmit the information to be transmitted using one or more transmit antennas.

Although shown in FIG. 6 as being located immediately ahead of physical channel processing unit 630, channel interleaver 625 may be placed in any of a variety of positions in the transmit chain of communications device 600. Preferably the channel interleaver 625 is placed before a layer mapping unit (part of physical channel processing unit 630). Alternatively it may be placed after the layer mapping unit. In general, the position of channel interleaver 625 may be relatively position independent as long as it achieves the desired interleaving effect together with the layer mapping unit of physical channel processing unit 630.

In various embodiments, the uplink and downlink tables including translation tables described above may be transferred and stored in the communications device 600 prior to beginning of the transmission. Consequently, the receiving device can use the corresponding uplink or downlink tables to determine the transport block size of the received transmission.

Although the present invention and its advantages have been described in detail, it should be understood that various changes, substitutions and alterations can be made herein without departing from the spirit and scope of the invention as defined by the appended claims. For example, many of the features and functions discussed above can be implemented in software, hardware, or firmware, or a combination thereof.

Moreover, the scope of the present application is not intended to be limited to the particular embodiments of the process, machine, manufacture, composition of matter, means, methods and steps described in the specification. As one of ordinary skill in the art will readily appreciate from the disclosure of the present invention, processes, machines, manufacture, compositions of matter, means, methods, or steps, presently existing or later to be developed, that perform substantially the same function or achieve substantially the same result as the corresponding embodiments described herein may be utilized according to the present invention. Accordingly, the appended claims are intended to include within their scope such processes, machines, manufacture, compositions of matter, means, methods, or steps. 

What is claimed is:
 1. A method for transmitting information, the method comprising: processing a downlink transport channel to generate a transport block (TB) having a TB size, wherein the TB size is selected by: selecting a modulation and coding scheme index (I_(TBS)) and a physical resource block index (N_(PRB)), and setting the a transport block (TB) size for the selected I_(TBS) and N_(PRB) wherein an effective code rate at a user equipment (UE) does not exceed a specified threshold, wherein the effective code rate is defined as a number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and code block CRC bits divided by a number of physical channel bits on a Physical Downlink Shared Channel (PDSCH); mapping the transport block to multiple spatial layers, wherein the number of spatial layers N is greater than or equal to three; and transmitting the multiple spatial layers to the UE.
 2. The method of claim 1, wherein setting the TB size comprises defining the TB size so that code block sizes with TB CRC bits and code block CRC bits attached are aligned with Quadratic Permutation Polynomial (QPP) sizes for turbo codes.
 3. The method of claim 1, wherein the TB size is identical to another entry in an one-layer TB size table or a two-layer TB size table.
 4. The method of claim 1, wherein the number of spatial layers N is equal to three, and wherein the setting the TB size for the selected I_(TBS) and N_(PRB) comprises: selecting the TB size by a (I_(TBS),3·N_(PRB)) entry of a one-layer TBS table if 1≤N_(PRB)≤36; and selecting the TB size from a translation table if 37≤N_(PRB)≤N_(MAX), wherein N_(MAX) is the maximum number of physical resource blocks that can be allocated.
 5. The method of claim 4, wherein the translation table comprises translations from a one-layer TB size to a three-layer TB size.
 6. The method of claim 4, wherein the translation table is obtained by: obtaining a one-layer TB size (TBS_L1) by selecting a (I_(TBS),N_(PRB)) entry from the one-layer TBS table and calculating 3×TBS_L1; and obtaining a three-layer TB size (TBS_L3) by selecting the TB size in the one-layer table or a two-layer table that is most adjacent to a calculated 3×TBS_L1.
 7. The method of claim 6, wherein if the calculated 3×TBS_L1 is larger than all entries in the one-layer and two-layer table, the three-layer TB size is selected to be 3×TBS_L1 with adjustments for CRC bits and alignment with Quadratic Permutation Polynomial (QPP) sizes for turbo coding.
 8. The method of claim 4, wherein if N_(PRB)={38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72} and 0≤I_(TBS)≤25, the TB size is selected by a $\left( {I_{TBS},\frac{3 \cdot N_{PRB}}{2}} \right)$ entry in an equivalent 27×110 two-layer TBS table constructed by a one-layer to two-layer TB size translation table.
 9. The method of claim 4, further comprising receiving the transmitted multiple spatial layers at the UE, and using the one-layer TBS table, or the translation table to determine a transmitted size of the transport block.
 10. The method of claim 4, wherein the translation table is TBS_L1 TBS_L3 1032 3112 1064 3240 1096 3240 1128 3368 1160 3496 1192 3624 1224 3624 1256 3752 1288 3880 1320 4008 1352 4008 1384 4136 1416 4264 1480 4392 1544 4584 1608 4776 1672 4968 1736 5160 1800 5352 1864 5544 1928 5736 1992 5992 2024 5992 2088 6200 2152 6456 2216 6712 2280 6712/6968 2344 6968 2408 7224 2472 7480 2536 7480/7736 2600 7736 2664 7992 2728 8248 2792 8248/8504 2856 8504 2984 8760/9144 3112 9144/9528 3240 9528/9912 3368  9912/10296 3496 10296/10680 3624 10680/11064 3752 11064/11448 3880 11448/11832 4008 11832/12216 4136 12576 4264 12960 4392 12960 4584 13536 4776 14112 4968 14688 5160 15264 5352 15840 5544 16416 5736 16992 5992 18336 6200 18336 6456 19080 6712 19848 6968 20616 7224 21384 7480 22152 7736 22920 7992 23688 8248 24496 8504 25456 8760 26416 9144 27376 9528 28336 9912 29296 10296 30576 10680 31704 11064 32856 11448 34008 11832 35160 12216 36696 12576 37888 12960 39232 13536 40576 14112 42368 14688 43816 15264 45352 15840 46888 16416 48936 16992 51024 17568 52752 18336 55056 19080 57336 19848 59256 20616 61664 21384 63776 22152 66592 22920 68808 23688 71112 24496 73712 25456 76208 26416 78704 27376 81176 28336 84760 29296 87936 30576 90816 31704 93800 32856 97896 34008 101840 35160 105528 36696 110136 37888 115040 39232 119816 40576 119816 42368 128496 43816 133208 45352 137792 46888 142248 48936 146856 52752 157432 55056 165216 57336 171888 59256 177816 61664 185728 63776 191720 66592 199824 68808 205880 71112
 214176.


11. The method of claim 1, wherein the number of spatial layers N is equal to four, and wherein the setting the TB size for the selected I_(TBS) and N_(PRB) comprises: selecting the TB size from a translation table if 56≤N_(PRB)≤N_(MAX), wherein N_(MAX) is the maximum number of physical resource blocks that can be allocated.
 12. The method of claim 11, wherein the translation table is TBS_L1 TBS_L4 TBS_L1 TBS_L4 1544 6200 1608 6456 3880 15264 1672 6712 4008 15840 1736 6968 4136 16416 1800 7224 4264 16992 1864 7480 4392 17568 1928 7736 4584 18336 1992 7992 4776 19080 2024 7992 4968 19848 2088 8248 5160 20616 2152 8504 5352 21384 2216 8760 5544 22152 2280 9144 5736 22920 2344 9528 5992 23688 2408 9528 2472 9912 6456 25456 2536 10296 2600 10296 6968 28336 2664 10680 7224 29296 2728 11064 7480 29296 2792 11064 7736 30576 2856 11448 7992 31704 2984 11832 8248 32856 3112 12576 8504 34008 3240 12960 8760 35160 3368 13536 9144 36696 3496 14112 9528 37888 3624 14688 9912 39232 10296 40576 28336 115040 10680 42368 11064 43816 30576 124464 11448 45352 31704 128496 11832 46888 32856 133208 12216 48936 34008 137792 12576 51024 35160 142248 12960 51024 36696 146856 13536 55056 14112 57336 39232 157432 14688 59256 40576 161760 15264 61664 42368 169544 15840 63776 43816 175600 16416 66592 45352 181656 16992 68808 46888 187712 17568 71112 48936 195816 18336 73712 51024 203704 19080 76208 52752 211936 19848 78704 55056 220296 20616 81176 57336 230104 21384 84760 22152 87936 22920 90816 23688 93800 66592 266440 24496 97896 25456 101840 71112 284608 26416 105528 27376
 110136.


13. The method of claim 11, wherein the translation table comprises translations from a one-layer TB size to a four-layer TB size.
 14. The method of claim 11, wherein the translation table is obtained by: locating a two-layer TB size (TBS_L2(i)) for an one-layer TB size (TBS_L1(i)) in an i^(th) row of an one-layer to two-layer translation table, the TBS_L1(i) being an (I_(TBS),N_(PRB)) entry of an one-layer TBS table; in a j^(th) row of the one-layer to two-layer translation table identifying an one-layer TB size (TBS_L1(j)) having a TB size equal to TBS_L2(i)); and setting the four-layer TB size for the i^(th) row in the one-layer to four-layer translation to the two-layer TB size of the j^(th) row (TBS_L2(j)).
 15. The method of claim 14, wherein the four-layer TB size for the i^(th) row in the one-layer to four-layer translation is set to 2×TBS_L2(i) with adjustment for CRC bit and alignment with QPP sizes for turbo codes if no one-layer TB size (TBS_L1(j)) has a TB size equal to TBS_L2(i)).
 16. The method of claim 11, wherein the translation table is TBS_L1 TBS_L4 3752 15264 6200 24496 6712 26416 29296 115040 37888 151376 59256 236160 61664 245648 63776 254328 68808
 275376.


17. A communications device comprising: a transmitter to be coupled to at least one transmit antenna, the transmitter configured to transmit signals with the at least one transmit antenna; a transport channel processing unit coupled to a processor, the transport channel processing unit processor configured to provide transport channel processing to a transport block (TB) provided by the processor, wherein a TB size of the TB is selected by: selectingselect a modulation and coding scheme index (I_(TBS)) and a physical resource block index (N_(PRB)), and selecting theselect a transport block (TB) size for the selected I_(TBS) and N_(PRB), wherein the effective code rate for a user equipment (UE) does not exceed a specified threshold for the selected TB size, wherein the effective code rate is defined as the number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and code block CRC bits divided by the number of physical channel bits on a Physical Downlink Shared Channel (PDSCH); and a physical channel processing unit processor coupled to the transmitter, the physical channel processing unit processor configured to provide physical channel processing to a plurality of transport blocks provided by the transport channel processing unit processor.
 18. The communications device of claim 17, wherein the transport channel processing comprises appending error check data to a transport block, segmenting, channel coding, rate matching, concatenating, or a combination thereof.
 19. The communications device of claim 17, wherein the physical channel processing comprises scrambling, modulation/coding scheme selection, codeword-to-layer mapping, signal generating, or a combination thereof.
 20. The communications device of claim 17, wherein the physical channel processing unit processor is further configured to map a transport block of the plurality of transport blocks to multiple spatial layers, wherein the number of spatial layers N is greater than or equal to three.
 21. A communications device comprising: a transmitter to be coupled to at least one transmit antenna, the transmitter configured to transmit signals with the at least one transmit antenna; a processing unit to process a downlink transport channel to generate a transport block (TB) having a TB size, wherein the processing unit is processor configured to select the TB size by: selectingselect a modulation and coding scheme index (I_(TBS)) and a physical resource block index (N_(PRB)), and setting theset a transport block (TB) size for the selected I_(TBS) and N_(PRB) wherein an effective code rate for a user equipment (UE) does not exceed a specified threshold, wherein the effective code rate is defined as a number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and code block CRC bits divided by a number of physical channel bits on a Physical Downlink Shared Channel (PDSCH); and a layer mapping unit mapper to map the transport block to multiple spatial layers, wherein the number of spatial layers N is greater than or equal to three, wherein the transmitter is configured to transmit the multiple spatial layers to the UE.
 22. The communications device of claim 21, wherein setting the TB size comprises defining the TB size so that code block sizes with TB CRC bits and code block CRC bits attached are aligned with Quadratic Permutation Polynomial (QPP) sizes for turbo codes.
 23. The communications device of claim 21, wherein the TB size is identical to another entry in an one-layer TB size table or a two-layer TB size table.
 24. The communications device of claim 21, wherein the number of spatial layers N is equal to three, and wherein the setting the TB size for the selected I_(TBS) and N_(PRB) comprises: selecting the TB size by a (I_(TBS),3·N_(PRB)) entry of a one-layer TBS table if 1≤N_(PRB)≤36; and selecting the TB size from a translation table if 37≤N_(PRB)≤N_(MAX), wherein N_(MAX) is the maximum number of physical resource blocks that can be allocated.
 25. The communications device of claim 24, wherein the translation table comprises translations from a one-layer TB size to a three-layer TB size.
 26. The communications device of claim 24, wherein the translation table is obtained by: obtaining a one-layer TB size (TBS_L1) by selecting a (I_(TBS),N_(PRB)) entry from the one-layer TBS table and calculating 3×TBS_L1; and obtaining a three-layer TB size (TBS_L3) by selecting the TB size in the one-layer table or a two-layer table that is most adjacent to a calculated 3×TBS_L1.
 27. The communications device of claim 26, wherein if the calculated 3×TBS_L1 is larger than all entries in the one-layer and two-layer table, the three-layer TB size is selected to be 3×TBS_L1 with adjustments for CRC bits and alignment with Quadratic Permutation Polynomial (QPP) sizes for turbo coding.
 28. The communications device of claim 24, wherein if N_(PRB)={38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72} and 0≤I_(TBS)≤25, the TB size is selected by a $\left( {I_{TBS},\frac{3 \cdot N_{PRB}}{2}} \right)$ entry in an equivalent 27×110 two-layer TBS table constructed by a one-layer to two-layer TB size translation table.
 29. The communications device of claim 21, wherein the number of spatial layers N is equal to four, and wherein the setting the TB size for the selected I_(TBS) and N_(PRB) comprises selecting the TB size from a translation table if 56≤N_(PRB)≤N_(MAX), wherein N_(MAX) is the maximum number of physical resource blocks that can be allocated.
 30. The communications device of claim 29, wherein the translation table comprises translations from a one-layer TB size to a four-layer TB size.
 31. The communications device of claim 29, wherein the translation table is obtained by: locating a two-layer TB size (TBS_L2(i)) for an one-layer TB size (TBS_L1(i)) in an i^(th) row of an one-layer to two-layer translation table, the TBS_L1(i) being an (I_(TBS),N_(PRB)) entry of an one-layer TBS table; in a j^(th) row of the one-layer to two-layer translation table identifying an one-layer TB size (TBS_L1(j)) having a TB size equal to TBS_L2(i)); and setting the four-layer TB size for the i^(th) row in the one-layer to four-layer translation to the two-layer TB size of the j^(th) row (TBS_L2(j)).
 32. The communications device of claim 31, wherein the four-layer TB size for the i^(th) row in the one-layer to four-layer translation is set to 2×TBS_L2(i) with adjustment for CRC bit and alignment with QPP sizes for turbo codes if no one-layer TB size (TBS_L1(j)) has a TB size equal to TBS_L2(i)).
 33. A method for transmitting information, the method comprising: selecting a modulation and coding scheme index (ITBS) and a physical resource block index (NPRB) for a transport block (TB), and setting the TB size for the selected ITBS and NPRB wherein an effective code rate at a user equipment (UE) does not exceed a specified threshold, wherein the effective code rate is defined as a number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and code block CRC bits divided by a number of physical channel bits on Physical Downlink Shared Channel (PDSCH); mapping the transport block to multiple spatial layers, wherein the number of spatial layers N is greater than or equal to three; and transmitting the multiple spatial layers to the UE, wherein the number of spatial layers N is equal to three, and wherein the setting the TB size for the selected ITBS and NPRB comprises: selecting the TB size by a (I_(TBS),3·N_(PRB)) entry of a one-layer TBS table if 1≤NPRB≤36; and selecting the TB size from a translation table if 37≤NPRB≤NMAX, wherein NMAX is the maximum number of physical resource blocks that can be allocated.
 34. The method of claim 33, wherein the translation table comprises: TBS_L1 TBS_L3 1032 3112 1064 3240 1096 3240 1128 3368 1160 3496 1192 3624 1224 3624 1256 3752 1288 3880 1320 4008 1352 4008 1384 4136 1416 4264 1480 4392 1544
 4584.


35. The method of claim 33, wherein the translation table comprises: TBS_L1 TBS_L3 3752 11064/11448 3880 11448/11832 4008 11832/12216 4136 12576 4264 12960 4392 12960 4584 13536 4776 14112 4968 14688 5160 15264 5352 15840 5544
 16416.


36. The method of claim 33, wherein the translation table is TBS_L1 TBS_L3 16992 51024 17568 52752 18336 55056 19080 57336 19848 59256 20616 61664 21384 63776 22152 66592 22920
 68808.


37. The method of claim 33, wherein the translation table comprises TBS_L1 TBS_L3 1544 4584 1608 4776 1672 4968 1736 5160 1800 5352 1864 5544 1928 5736 1992
 5992.


38. The method of claim 33, wherein the translation table is TBS_L1 TBS_L3 27376 81176 28336 84760 29296 87936 30576 90816 31704 93800 32856 97896 34008 101840 35160 105528 36696 110136 37888
 115040.


39. The method of claim 33, wherein setting the TB size comprises defining the TB size so that code block sizes with TB CRC bits and code block CRC bits attached are aligned with Quadratic Permutation Polynomial (QPP) sizes for turbo codes.
 40. The method of claim 33, wherein the TB size is identical to another entry in an one-layer TB size table or a two-layer TB size table.
 41. A user equipment (UE) comprising: a transmitter to be coupled to at least one transmit antenna, the transmitter configured to transmit signals with the at least one transmit antenna; a processor configured to select a transport block (TB) size by: selecting a modulation and coding scheme index (ITBS) and a physical resource block index (NPRB), and setting the TB size for the selected ITBS and NPRB wherein an effective code rate for a communications device does not exceed a specified threshold, wherein the effective code rate is defined as a number of downlink (DL) information bits including TB cyclic redundancy check (CRC) bits and code block CRC bits divided by a number of physical channel bits on Physical Downlink Shared Channel (PDSCH); and a layer mapper to map the transport block to multiple spatial layers, wherein the number of spatial layers N is greater than or equal to three, wherein the transmitter is configured to transmit the multiple spatial layers to the communications device.
 42. The UE of claim 41, wherein setting the TB size comprises defining the TB size so that code block sizes with TB CRC bits and code block CRC bits attached are aligned with Quadratic Permutation Polynomial (QPP) sizes for turbo codes.
 43. The UE of claim 41, wherein the TB size is identical to another entry in an one-layer TB size table or a two-layer TB size table. 